Calculating mass from angles and all sides of vector triangle

[spcmessina]

Homework Statement

the attachment is a drawing of what was given/what i have already found the mass and weight are the only things i have to find and i can't find any equations that will help me figure this out

 

[stewartcs]

Homework Statement

the attachment is a drawing of what was given/what i have already found the mass and weight are the only things i have to find and i can't find any equations that will help me figure this out

It appears that you have 4 strings supporting an object with some mass. It also appears you have found 4 of the 4 tensions in the 4 strings (i.e. each string has a tension). Thus the tension in the fourth string equals the weight of the suspended object. In order to find the mass of the suspended object (assuming those 4 tensions on your diagram represent the tension in the strings) use Newton's Second Law: F = ma.

EDIT: Please clarify your drawing if I've wrongly assumed the values given are the tensions in each of the 4 strings (it's hard to tell from your drawing).

CS